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Simplifying 6m + 3m(4m + -3) + 7 = 0 Reorder the terms: 6m + 3m(-3 + 4m) + 7 = 0 6m + (-3 * 3m + 4m * 3m) + 7 = 0 6m + (-9m + 12m2) + 7 = 0 Reorder the terms: 7 + 6m + -9m + 12m2 = 0 Combine like terms: 6m + -9m = -3m 7 + -3m + 12m2 = 0 Solving 7 + -3m + 12m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.5833333333 + -0.25m + m2 = 0 Move the constant term to the right: Add '-0.5833333333' to each side of the equation. 0.5833333333 + -0.25m + -0.5833333333 + m2 = 0 + -0.5833333333 Reorder the terms: 0.5833333333 + -0.5833333333 + -0.25m + m2 = 0 + -0.5833333333 Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000 0.0000000000 + -0.25m + m2 = 0 + -0.5833333333 -0.25m + m2 = 0 + -0.5833333333 Combine like terms: 0 + -0.5833333333 = -0.5833333333 -0.25m + m2 = -0.5833333333 The m term is -0.25m. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25m + 0.015625 + m2 = -0.5833333333 + 0.015625 Reorder the terms: 0.015625 + -0.25m + m2 = -0.5833333333 + 0.015625 Combine like terms: -0.5833333333 + 0.015625 = -0.5677083333 0.015625 + -0.25m + m2 = -0.5677083333 Factor a perfect square on the left side: (m + -0.125)(m + -0.125) = -0.5677083333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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